mathsurgery - Transformations and coordinates year 8

All
• Communicate own findings effectively, orally and in writing, and discuss and compare approaches and results with others
• Understand and use the language and notation associated with reflections, translations and rotations
• Recognise and visualise the symmetries of a 2-D shape
• Transform 2-D shapes by:
(i) reflecting in given mirror lines;
(ii) rotating about a given point;
(iii) translating.
• Explore these transformations and symmetries using ICT

Most
• Refine own findings and approaches on the basis of discussions with others
• Identify all the symmetries of 2-D shapes
• Transform 2-D shapes by rotation, reflection and translation, on paper and using ICT
• Try out mathematical representations of simple combinations of these transformations
• Understand and use the language and notation associated with enlargement; enlarge 2-D shapes, given a centre of enlargement and a positive integer scale factor; explore enlargement using ICT
• Know that if two 2-D shapes are congruent, corresponding sides and angles are equal

Some
• Review and refine own findings and approaches on the basis of discussions with others
• Identify reflection symmetry in 3-D shapes
• Recognise that translations, rotations and reflections preserve length and angle, and map objects on to congruent images
• Devise instructions for a computer to generate and transform shapes
• Explore and compare mathematical representations of combinations of translations, rotations and reflections of 2-D shapes, on paper and using ICT
• Enlarge 2-D shapes, given a centre of enlargement and a positive integer scale factor, on paper and using ICT; identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding line segments; recognise that enlargements preserve angle but not length, and understand the implications of enlargement for perimeter
• Understand congruence and explore similarity

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Transformations and coordinates year 8